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Finding the Fourth Proportional to 7,281, 10,922.04 and 2,351.16

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Solution

The fourth proportional to 7,281, 10,922.04 and 2,351.16 is: 3,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281 : 10,922.04 = 2,351.16 : x
  2. Step 2: Convert to fraction form
    7,281/10,922.04 = 2,351.16/x
  3. Step 3: Cross multiply
    7,281x = 10,922.04 × 2,351.16
  4. Step 4: Simplify right side
    7,281x = 25,679,463.57
  5. Step 5: Solve for x
    x = 25,679,463.57/7,281
  6. Step 6: Final answer
    x = 3,526.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.